Agnostically Learning Juntas from Random Walks

Jan Arpe; Elchanan Mossel

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arXiv · 0806.4210

Agnostically Learning Juntas from Random Walks

Jan Arpe·Elchanan Mossel

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Abstract

We prove that the class of functions g:{-1,+1}^n -> {-1,+1} that only depend on an unknown subset of k< 0 and access to a random walk on {-1,+1}^n labeled by an arbitrary function f:{-1,+1}^n -> {-1,+1}, finds with probability at least 1-delta a k-junta that is (opt(f)+epsilon)-close to f, where opt(f) denotes the distance of a closest k-junta to f.

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Jan Arpe, Elchanan Mossel. 2008-06-25. Agnostically Learning Juntas from Random Walks. https://arxiv.org/abs/0806.4210

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